88105014144 has 640 divisors, whose sum is σ = 317860804800. Its totient is φ = 23688806400.

The previous prime is 88105014091. The next prime is 88105014167. The reversal of 88105014144 is 44141050188.

88105014144 is a `hidden beast` number, since 8 + 8 + 1 + 0 + 501 + 4 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88105014099 and 88105014108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86292354 + ... + 86293374.

Almost surely, 2^88105014144 is an apocalyptic number.

88105014144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88105014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158930402400).

88105014144 is an abundant number, since it is smaller than the sum of its proper divisors (229755790656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88105014144 is a wasteful number, since it uses less digits than its factorization.

88105014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 88105014144 in words is "eighty-eight billion, one hundred five million, fourteen thousand, one hundred forty-four".